7226496 has 160 divisors (see below), whose sum is σ = 23326380. Its totient is φ = 2211840.

The previous prime is 7226491. The next prime is 7226501. The reversal of 7226496 is 6946227.

It is a happy number.

7226496 is a `hidden beast` number, since 7 + 2 + 2 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7226491) and next prime (7226501).

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 129600 = 2664^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (63).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7226496.

It is not an unprimeable number, because it can be changed into a prime (7226491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176236 + ... + 176276.

Almost surely, 2^7226496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663190).

7226496 is an abundant number, since it is smaller than the sum of its proper divisors (16099884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7226496 is a wasteful number, since it uses less digits than its factorization.

7226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7226496 is about 2688.2142771736. The cubic root of 7226496 is about 193.3344536862.

The spelling of 7226496 in words is "seven million, two hundred twenty-six thousand, four hundred ninety-six".